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Finding the Third Proportional to 446,317 and 983,174

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Solution

The third proportional to 446,317 and 983,174 is: 2,165,794.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,317 : 983,174 = 983,174 : x
  2. Step 2: Convert to fraction form
    446,317/983,174 = 983,174/x
  3. Step 3: Cross multiply
    446,317x = 983,174 × 983,174
  4. Step 4: Simplify right side
    446,317x = 966,631,114,276
  5. Step 5: Solve for x
    x = 966,631,114,276/446,317
  6. Step 6: Final answer
    x = 2,165,794.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.